Last Friday, Pierre withdrew an equal number of $5-notes and $100-notes from the bank. After spending 43 pieces of $5-notes and 25 pieces of $100-notes, the ratio of the remaining $5-notes to $100-notes became 5 : 7.
- How many $5-notes had he left?
- What was the total value of the notes which Pierre withdrew from the bank?
| |
$5-notes |
$100-notes |
| Before |
5 u + 43 |
7 u + 25 |
| Change |
- 43 |
- 25 |
| After |
5 u |
7 u |
(a)
Pierre withdrew an equal number of $5-notes and $100-notes from the bank. So, the number of notes of each type is the same.
7 u + 25 = 5 u + 43
7 u - 5 u = 43 - 25
2 u = 18
1 u = 18 ÷ 2 = 9
Number of $5 notes that Pierre had left
= 5 u
= 5 x 9
= 45
(b)
Number of each type of notes that Pierre withdrew
= 45 + 43
= 88
Value of one set of $5-note and 100-note
= 5 + 100
= $105
Total value of the notes that Pierre withdrew
= 105 x 88
= $9240
Answer(s): (a) 45; (b) $9240
